Carrying which is the indirect result of an action: Shabbat 100b, 101a, 141a
Carrying in a Karmelit, to avoid violating the commandment of Respecting Others: Menachot 37b-38a
Carrying within a plaza which is larger than Seatayim: Eruvin 67b
Carrying between one Karmelit and Another
Carrying from a roof into a yard or plaza: Eruvin 90b-91a
Specific Permitted Uses of a Karmelit
Bringing a knife for Circumcision on Shabbat: Shabbat 130a-b
Bringing pebbles for wiping one's self in an outhouse: Shabbat 81a; Succah 36b